# Low Space Order Analysis of Radial Pressure in SPMSM With Analytical and Convolution Approaches

##### Citations

27 citations

### Cites background from "Low Space Order Analysis of Radial ..."

...The vibration and noise level of electrical motors is inversely proportional to the fourth power of spatial order, and the electromagnetic force with lower spatial order number that no more than 4th is vital to the vibration and noise generation [17]–[19]....

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^{1}, Jean Le Besnerais, Thierry Lubin

^{2}, Michel Hecquet

^{1}+1 more•Institutions (2)

18 citations

### Cites methods from "Low Space Order Analysis of Radial ..."

...Using the convolution product theorem, each harmonic of force can be decomposed into a product of two flux density harmonics [17]....

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16 citations

### Cites background from "Low Space Order Analysis of Radial ..."

...The above demonstration can be also used to explain why the deflection shape of the yoke resembles a traveling wave, which has been verified with experiments in [29], [30]....

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### Cites background from "Low Space Order Analysis of Radial ..."

...For double-layer concentratedwinding the spatial and frequency harmonic content is quite rich [13, 14]....

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...The spatial order 2 to 2f, which is a characteristic of this winding type, is observed linked to the Greatest Common Divider GCD (Zs, 2p) [13, 15]....

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...combined interactions between the armature (winding), magnets and slotting effects (permeance), and its own interactions too [13]....

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##### References

1,065 citations

### "Low Space Order Analysis of Radial ..." refers background in this paper

...The slot-pole combination is important in terms of vibration generation as shown in [8], [13], and [17]....

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570 citations

### "Low Space Order Analysis of Radial ..." refers methods in this paper

...The winding pattern is designed using a star of slots methodology [18], and Dogan et al....

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375 citations

### "Low Space Order Analysis of Radial ..." refers background in this paper

...Each harmonic of this radial pressure is well known [2], [3], [5], [11], for example, coupled with the interaction between the slotting and the magnetomotive force (MMF), or the saturation effect [4], [6]....

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...This source of audible noise arises when Maxwell pressures induce dynamic deflections of the external structure (stator or rotor), which then propagate in the ambient air as acoustic waves [1], [2]....

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...According to (1), it also determines BaR(t, αs) and Bpm(t, αs), the armature and magnet radial flux density, respectively [2]....

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315 citations

### "Low Space Order Analysis of Radial ..." refers methods in this paper

...2589924 Analytical models (permeance/MMF and winding function approaches) [3], [5], semianalytical subdomain models [9], and the finite-element (FE) method can be used to evaluate the airgap flux density....

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228 citations

### "Low Space Order Analysis of Radial ..." refers background in this paper

...This source of audible noise arises when Maxwell pressures induce dynamic deflections of the external structure (stator or rotor), which then propagate in the ambient air as acoustic waves [1], [2]....

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